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Simplifying log(4p + -2) = log(7 + -4a) Reorder the terms: glo(-2 + 4p) = log(7 + -4a) (-2 * glo + 4p * glo) = log(7 + -4a) (-2glo + 4glop) = log(7 + -4a) -2glo + 4glop = (7 * glo + -4a * glo) Reorder the terms: -2glo + 4glop = (-4aglo + 7glo) -2glo + 4glop = (-4aglo + 7glo) Solving -2glo + 4glop = -4aglo + 7glo Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '4aglo' to each side of the equation. -2glo + 4aglo + 4glop = -4aglo + 4aglo + 7glo Reorder the terms: 4aglo + -2glo + 4glop = -4aglo + 4aglo + 7glo Combine like terms: -4aglo + 4aglo = 0 4aglo + -2glo + 4glop = 0 + 7glo 4aglo + -2glo + 4glop = 7glo Add '-7glo' to each side of the equation. 4aglo + -2glo + -7glo + 4glop = 7glo + -7glo Combine like terms: -2glo + -7glo = -9glo 4aglo + -9glo + 4glop = 7glo + -7glo Combine like terms: 7glo + -7glo = 0 4aglo + -9glo + 4glop = 0 Factor out the Greatest Common Factor (GCF), 'glo'. glo(4a + -9 + 4p) = 0Subproblem 1
Set the factor 'glo' equal to zero and attempt to solve: Simplifying glo = 0 Solving glo = 0 Move all terms containing g to the left, all other terms to the right. Simplifying glo = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(4a + -9 + 4p)' equal to zero and attempt to solve: Simplifying 4a + -9 + 4p = 0 Reorder the terms: -9 + 4a + 4p = 0 Solving -9 + 4a + 4p = 0 Move all terms containing g to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 4a + 9 + 4p = 0 + 9 Reorder the terms: -9 + 9 + 4a + 4p = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 4a + 4p = 0 + 9 4a + 4p = 0 + 9 Combine like terms: 0 + 9 = 9 4a + 4p = 9 Add '-4a' to each side of the equation. 4a + -4a + 4p = 9 + -4a Combine like terms: 4a + -4a = 0 0 + 4p = 9 + -4a 4p = 9 + -4a Add '-4p' to each side of the equation. 4p + -4p = 9 + -4a + -4p Combine like terms: 4p + -4p = 0 0 = 9 + -4a + -4p Simplifying 0 = 9 + -4a + -4p The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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